Wall shear stress Calculator

✖Local Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream.ⓘ Local Friction Coefficient [C_fx]			+10% -10%
✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%
✖Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.ⓘ Free Stream Velocity [u_∞]			+10% -10%

✖Wall shear stress is defined as the shear stress in the layer of fluid next to the wall of a pipe.ⓘ Wall shear stress [τ_w]

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Formula

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Wall shear stress

Formula

`"τ"_{"w"} = ("C"_{"fx"}*"ρ"*("u"_{"∞"}^2))/2`

Example

`"801189.2Pa"=("0.328"*"997kg/m³"*(("70m/s")^2))/2`

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Wall shear stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wall Shear Stress = (Local Friction Coefficient*Density*(Free Stream Velocity^2))/2
τ_w = (C_fx*ρ*(u_∞^2))/2
This formula uses 4 Variables

Variables Used

Wall Shear Stress - (Measured in Pascal) - Wall shear stress is defined as the shear stress in the layer of fluid next to the wall of a pipe.
Local Friction Coefficient - Local Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Free Stream Velocity - (Measured in Meter per Second) - Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.

STEP 1: Convert Input(s) to Base Unit

Local Friction Coefficient: 0.328 --> No Conversion Required
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Free Stream Velocity: 70 Meter per Second --> 70 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_w = (C_fx*ρ*(u_∞^2))/2 --> (0.328*997*(70^2))/2

Evaluating ... ...

τ_w = 801189.2

STEP 3: Convert Result to Output's Unit

801189.2 Pascal --> No Conversion Required

FINAL ANSWER

801189.2 Pascal <-- Wall Shear Stress

(Calculation completed in 00.007 seconds)

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Home » Physics » Heat and Mass Transfer » External flow » Flow over Flat Plate » Laminar Flow » Wall shear stress

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< 15 Laminar Flow Calculators

Average temperature difference between plate and fluid

Go Average Temperature Difference = ((Heat Flux*Distance L/Thermal Conductivity))/(0.679*(Reynolds Number at Location L^0.5)*(Prandtl Number^0.333))

Free stream velocity given local friction coefficient

Go Free Stream Velocity = sqrt((2*Wall Shear Stress)/(Density*Local Friction Coefficient))

Density given local friction coefficient

Go Density = 2*Wall Shear Stress/(Local Friction Coefficient*(Free Stream Velocity^2))

Wall shear stress

Go Wall Shear Stress = (Local Friction Coefficient*Density*(Free Stream Velocity^2))/2

Local friction coefficient for external flow

Go Local Friction Coefficient = 2*Wall Shear Stress/(Density*Free Stream Velocity^2)

Hydrodynamic boundary layer thickness at distance X from leading edge

Go Hydrodynamic Boundary Layer Thickness = 5*Distance from Point to YY Axis*Reynolds Number(x)^(-0.5)

Thermal boundary layer thickness at distance X from leading edge

Go Thermal Boundary Layer Thickness = Hydrodynamic Boundary Layer Thickness*Prandtl Number^(-0.333)

Film temperature

Go Film temperature = (Plate Surface Temperature+Free Stream Fluid Temperature)/2

Free stream fluid temperature

Go Free Stream Fluid Temperature = 2*Film temperature-Plate Surface Temperature

Plate surface temperature

Go Plate Surface Temperature = 2*Film temperature-Free Stream Fluid Temperature

Coefficient of friction given Stanton number

Go Coefficient of Friction = 2*Stanton Number*(Prandtl Number^(2/3))

Displacement thickness

Go Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3

Average friction coefficient

Go Average Friction Coefficient = 1.328*Reynolds Number(x)^(-0.5)

Local Friction Coefficient given Reynolds Number

Go Local Friction Coefficient = 0.664*Reynolds Number(x)^(-0.5)

Momentum thickness

Go Momentum Thickness = Hydrodynamic Boundary Layer Thickness/7

Wall shear stress Formula

Wall Shear Stress = (Local Friction Coefficient*Density*(Free Stream Velocity^2))/2
τ_w = (C_fx*ρ*(u_∞^2))/2

What is external flow?

In fluid mechanics, external flow is such a flow that boundary layers develop freely, without constraints imposed by adjacent surfaces. Accordingly, there will always exist a region of the flow outside the boundary layer in which velocity, temperature, and/or concentration gradients are negligible. It can be defined as the flow of a fluid around a body that is completely submerged in it.
An example includes fluid motion over a flat plate (inclined or parallel to the free stream velocity) and flow over curved surfaces such as a sphere, cylinder, airfoil, or turbine blade, air flowing around an airplane and water flowing around the submarines.

How to Calculate Wall shear stress?

Wall shear stress calculator uses Wall Shear Stress = (Local Friction Coefficient*Density*(Free Stream Velocity^2))/2 to calculate the Wall Shear Stress, The Wall shear stress formula is defined as the force per unit area exerted by a solid boundary on a fluid in motion (and vice-versa) in a direction on the local tangent plane. Wall Shear Stress is denoted by τ_w symbol.

How to calculate Wall shear stress using this online calculator? To use this online calculator for Wall shear stress, enter Local Friction Coefficient (C_fx), Density (ρ) & Free Stream Velocity (u_∞) and hit the calculate button. Here is how the Wall shear stress calculation can be explained with given input values -> 16350.8 = (0.328*997*(70^2))/2.

FAQ

What is Wall shear stress?

The Wall shear stress formula is defined as the force per unit area exerted by a solid boundary on a fluid in motion (and vice-versa) in a direction on the local tangent plane and is represented as τ_w = (C_fx*ρ*(u_∞^2))/2 or Wall Shear Stress = (Local Friction Coefficient*Density*(Free Stream Velocity^2))/2. Local Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream, The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object & Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.

How to calculate Wall shear stress?

The Wall shear stress formula is defined as the force per unit area exerted by a solid boundary on a fluid in motion (and vice-versa) in a direction on the local tangent plane is calculated using Wall Shear Stress = (Local Friction Coefficient*Density*(Free Stream Velocity^2))/2. To calculate Wall shear stress, you need Local Friction Coefficient (C_fx), Density (ρ) & Free Stream Velocity (u_∞). With our tool, you need to enter the respective value for Local Friction Coefficient, Density & Free Stream Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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